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12312102105 = 325299434561
BaseRepresentation
bin10110111011101101…
…11100010011011001
31011210001101120221200
423131312330103121
5200203344231410
65353415024413
7614051066262
oct133566742331
934701346850
1012312102105
1152489515a6
12247736b109
131212a0bc24
1484b261969
154c0d703c0
hex2dddbc4d9

12312102105 has 24 divisors (see below), whose sum is σ = 22076875080. Its totient is φ = 6340024320.

The previous prime is 12312102071. The next prime is 12312102107. The reversal of 12312102105 is 50120121321.

It can be written as a sum of positive squares in 4 ways, for example, as 7080921 + 12305021184 = 2661^2 + 110928^2 .

It is not a de Polignac number, because 12312102105 - 28 = 12312101849 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12312102107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4715976 + ... + 4718585.

It is an arithmetic number, because the mean of its divisors is an integer number (919869795).

Almost surely, 212312102105 is an apocalyptic number.

12312102105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12312102105 is a deficient number, since it is larger than the sum of its proper divisors (9764772975).

12312102105 is a wasteful number, since it uses less digits than its factorization.

12312102105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9434601 (or 9434598 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 12312102105 its reverse (50120121321), we get a palindrome (62432223426).

The spelling of 12312102105 in words is "twelve billion, three hundred twelve million, one hundred two thousand, one hundred five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1305 9434561 28303683 47172805 84911049 141518415 273602269 424555245 820806807 1368011345 2462420421 4104034035 12312102105